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Title:
Hotmath
Author:
Hotmath
Chapter: Relations and Functions Section: Definitions: Relations and Functions
 

Problem: 1

Draw a mapping diagram and a graph of the following relation.

{(6, 1), (3, 1), (6, –5), (2, 7), (–8, 3)}

 

Problem: 3

Draw a mapping diagram and a graph of the following relation.

{(5, 0), (5, –2), (2, –1), (4, –1)}

 

Problem: 5

For the given relation, find the domain and range. Determine whether the relation is a function.

{( a , e ), ( c , b ), ( a , d )}

 

Problem: 7

For the given relation, find the domain and range. Determine whether the relation is a function.

 

Problem: 9

Is the relation a function? If so, give the domain and the range.

 

Problem: 11

Is the relation a function? If so, give the domain and the range.

 

Problem: 13

Is the relation a function? If so, give the domain and the range.

 

Problem: 15

Check whether the relation is a function. If yes, then give the domain and range.

 

Problem: 17

Check whether the relation is a function. If yes, then give the domain and range.

 

Problem: 19

Check whether the relation is a function. If yes, then give the domain and range.

 

Problem: 21

Does the graph represent y as a function of x ? Explain.

 

Problem: 23

Does the graph represent y as a function of x ? Explain.

 

Problem: 25

Check whether the graph represents a function. Explain your reasoning.

 

Problem: 27

Check whether the graph in the figure represents a function. Explain your reasoning.

 

Problem: 29

Check whether the graph in the figure represents a function. Explain your reasoning.

 

Problem: 31

Check whether the graph in the figure represents a function. Explain your reasoning.

 

Problem: 33

Check whether the graph in the figure represents a function. Explain your reasoning.

 

Problem: 35

The relation y = –3 x is a set of ordered pairs ( x , y ) that satisfy the equation y = –3 x . Identify whether this relation is a function.

 

Problem: 37

The relation x = | y | – 3 is a set of ordered pairs ( x , y ) that satisfy the equation x = | y | – 3. Identify whether this relation is a function.

 

Problem: 39

Find f (2), f (6), and f (–8) for the given function machine.

 

Problem: 41

Find h (–1), h (7), and h (12) for the given function machine.

 

Problem: 43

Evaluate the function at the given points.

h ( y ) = | y |, find h (–3), h (3), and h (–1).

 

Problem: 45

Find the indicated function values.

f ( x ) = | x | – 4, find f (4), f (90), and f (–151).

 

Problem: 47

Find the indicated function values.

h ( x ) = x 3 – 12, find h (1), h (–2), and h (4).

 

Problem: 49

Find the value of f (–2) if f ( x ) = 5 x + 3.

 

Problem: 51

Find the value of g (1/3) if g ( x ) = x 2 – 5 x .

 

Problem: 53

Find the value of g (2.5) if g ( x ) = x 2 – 5 x .

 

Problem: 55

Find the value of 4[ f (–3)] if f ( x ) = 5 x + 3.

 

Problem: 57

Find the value of g (2 b ) if g ( x ) = x 2 – 5 x .

 

Problem: 59

Find the value of –4[ g (2)] if g ( x ) = x 2 – 5 x .

 

Problem: 61

Find the value of 4[ g ( a 2 )] if g ( x ) = x 2 – 5 x .

 

Problem: 63

A large tank is filled with a certain liquid. The function

gives the pressure in atmospheres of the liquid as a function of d in feet.

Find the pressure exerted on a object submerged (a) 20 feet, (b) 30 feet, (c) 50 feet in the tank.